Numerical matheatical l analysis/
Scarborough,James B.
Numerical matheatical l analysis/ James B.Scarborough, - New Delhi: Oxford & IBH, - 600p.
1. Introduction
2. Approximate Numbers and Significant Figures 2
3. Rounding of Numbers
4. Absolute, Relative., and Percentage Errors ^
5. Relation between Relative Error and the Number of Significant
Figures J
6. The General Formula for Errors ®
7. Application of the Error Formulas to the Fundamental of Arithmetic and to Logarithms 10
8. The Impossibility, in General, of Obtaining a Result More
Accurate than the Data Used
9. Further Considerations on the Accuracy of a Computed Result 23
10. Accuracy in the Evaluation of a Formula or Complex Ex
pression
11. Accuracy in the Determination of Arguments from a Tabulated
Function
12. Accuracy of Series Approximations
13. Errors in Determinants
14. A Final Remark
Exercises I
CHAPTER II
INTERPOLATION
DIFFERENCES. NEWTON'S FORMULAS OF INTERPOLATION
15. Introduction
16. Differences *'
17. Effect of an Error in a Tabular Value.
18. Relation between Differences and Derivatives
19. Differences of a Polynomial
80. Newton's Formula for Forward Interpolation 56
21. Newton's Formula for Backward Interpolation 59
518 / SCA/N
Numerical matheatical l analysis/ James B.Scarborough, - New Delhi: Oxford & IBH, - 600p.
1. Introduction
2. Approximate Numbers and Significant Figures 2
3. Rounding of Numbers
4. Absolute, Relative., and Percentage Errors ^
5. Relation between Relative Error and the Number of Significant
Figures J
6. The General Formula for Errors ®
7. Application of the Error Formulas to the Fundamental of Arithmetic and to Logarithms 10
8. The Impossibility, in General, of Obtaining a Result More
Accurate than the Data Used
9. Further Considerations on the Accuracy of a Computed Result 23
10. Accuracy in the Evaluation of a Formula or Complex Ex
pression
11. Accuracy in the Determination of Arguments from a Tabulated
Function
12. Accuracy of Series Approximations
13. Errors in Determinants
14. A Final Remark
Exercises I
CHAPTER II
INTERPOLATION
DIFFERENCES. NEWTON'S FORMULAS OF INTERPOLATION
15. Introduction
16. Differences *'
17. Effect of an Error in a Tabular Value.
18. Relation between Differences and Derivatives
19. Differences of a Polynomial
80. Newton's Formula for Forward Interpolation 56
21. Newton's Formula for Backward Interpolation 59
518 / SCA/N